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202121022120102 = 2344360719477863
BaseRepresentation
bin101101111101001111110111…
…101110011010000010100110
3222111122120200112221121020000
4231331033313232122002212
5202443022323130320402
61553513040554322130
760400522231005141
oct5575176756320246
9874576615847200
10202121022120102
1159447053780208
121a8044a9429346
1388a1c136c0bb7
1437ca9d1485058
151857971b22c1c
hexb7d3f7b9a0a6

202121022120102 has 80 divisors (see below), whose sum is σ = 463441988021760. Its totient is φ = 65805622909488.

The previous prime is 202121022120077. The next prime is 202121022120137. The reversal of 202121022120102 is 201021220121202.

It is a happy number.

202121022120102 is a `hidden beast` number, since 20 + 212 + 10 + 221 + 201 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 422729623 + ... + 423207485.

It is an arithmetic number, because the mean of its divisors is an integer number (5793024850272).

Almost surely, 2202121022120102 is an apocalyptic number.

202121022120102 is an abundant number, since it is smaller than the sum of its proper divisors (261320965901658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202121022120102 is a wasteful number, since it uses less digits than its factorization.

202121022120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538639 (or 538630 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202121022120102 its reverse (201021220121202), we get a palindrome (403142242241304).

The spelling of 202121022120102 in words is "two hundred two trillion, one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3483 6966 60719 121438 182157 364314 477863 546471 955726 1092942 1433589 1639413 2610917 2867178 3278826 4300767 4918239 5221834 7832751 8601534 9836478 12902301 15665502 20548109 23498253 25804602 38706903 41096218 46996506 61644327 70494759 77413806 123288654 140989518 184932981 211484277 369865962 422968554 554798943 1109597886 1664396829 3328793658 29015363497 58030726994 87046090491 174092180982 261138271473 522276542946 783414814419 1247660630371 1566829628838 2350244443257 2495321260742 3742981891113 4700488886514 7485963782226 11228945673339 22457891346678 33686837020017 67373674040034 101060511060051 202121022120102