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202120102101020 = 225192281233185009
BaseRepresentation
bin101101111101001111000000…
…111000110100000000011100
3222111122111022102202210022012
4231331033000320310000130
5202443013432114213040
61553512405411210352
760400460356660565
oct5575170070640034
9874574272683265
10202120102101020
1159446721415264
121a8042912a69b8
1388a1ac7c084cc
1437ca9451d716c
15185791ae8e865
hexb7d3c0e3401c

202120102101020 has 48 divisors (see below), whose sum is σ = 446987681968800. Its totient is φ = 76559301826560.

The previous prime is 202120102101007. The next prime is 202120102101037. The reversal of 202120102101020 is 20101201021202.

It is a junction number, because it is equal to n+sod(n) for n = 202120102100986 and 202120102101004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115725725 + ... + 117459284.

It is an arithmetic number, because the mean of its divisors is an integer number (9312243374350).

Almost surely, 2202120102101020 is an apocalyptic number.

202120102101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202120102101020 is an abundant number, since it is smaller than the sum of its proper divisors (244867579867780).

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

202120102101020 is a wasteful number, since it uses less digits than its factorization.

202120102101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233187318 (or 233187316 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202120102101020 its reverse (20101201021202), we get a palindrome (222221303122222).

The spelling of 202120102101020 in words is "two hundred two trillion, one hundred twenty billion, one hundred two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 2281 4562 9124 11405 22810 43339 45620 86678 173356 216695 433390 866780 233185009 466370018 932740036 1165925045 2331850090 4430515171 4663700180 8861030342 17722060684 22152575855 44305151710 88610303420 531895005529 1063790011058 2127580022116 2659475027645 5318950055290 10106005105051 10637900110580 20212010210102 40424020420204 50530025525255 101060051050510 202120102101020