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102220201200102 = 238911531285312917
BaseRepresentation
bin10111001111011111111110…
…110010000000100111100110
3111101221011012120120100122120
4113033133332302000213212
5101344233433001400402
61001223151231410410
730350110610024406
oct2717377662004746
9441834176510576
10102220201200102
112a63038677a857
12b56ab62683a06
134506428c8b70b
141b356ac680806
15bc3eae4823bc
hex5cf7fec809e6

102220201200102 has 64 divisors (see below), whose sum is σ = 206948908463040. Its totient is φ = 33656108580864.

The previous prime is 102220201200079. The next prime is 102220201200109. The reversal of 102220201200102 is 201002102022201.

It is a super-2 number, since 2×1022202012001022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220201200109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7913611348 + ... + 7913624264.

It is an arithmetic number, because the mean of its divisors is an integer number (3233576694735).

Almost surely, 2102220201200102 is an apocalyptic number.

102220201200102 is an abundant number, since it is smaller than the sum of its proper divisors (104728707262938).

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

102220201200102 is a wasteful number, since it uses less digits than its factorization.

102220201200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27017.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220201200102 its reverse (201002102022201), we get a palindrome (303222303222303).

The spelling of 102220201200102 in words is "one hundred two trillion, two hundred twenty billion, two hundred one million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 89 178 267 534 1153 2306 3459 6918 12853 12917 25706 25834 38559 38751 77118 77502 102617 205234 307851 615702 1143917 1149613 2287834 2299226 3431751 3448839 6863502 6897678 14819509 14893301 29639018 29786602 44458527 44679903 88917054 89359806 166022201 332044402 498066603 996133206 1318936301 1325503789 2637872602 2651007578 3956808903 3976511367 7913617806 7953022734 14775975889 29551951778 44327927667 88655855334 191423597753 382847195506 574270793259 1148541586518 17036700200017 34073400400034 51110100600051 102220201200102