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101221002010221 = 3374756934098677
BaseRepresentation
bin10111000000111101011001…
…110111100101111001101101
3111021101122002200000022010120
4113000331121313211321231
5101231401103003311341
6555140141505155153
730214655535034632
oct2700753167457155
9437348080008116
10101221002010221
112a285649899405
12b42938492bab9
13446313a89a722
141add1a0734189
15ba7ecd1a3066
hex5c0f59de5e6d

101221002010221 has 32 divisors (see below), whose sum is σ = 141806854172160. Its totient is φ = 64146974870016.

The previous prime is 101221002010153. The next prime is 101221002010241. The reversal of 101221002010221 is 122010200122101.

It is not a de Polignac number, because 101221002010221 - 211 = 101221002008173 is a prime.

It is a super-3 number, since 3×1012210020102213 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101221002010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221002010241) 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, 14080866 + ... + 20017811.

It is an arithmetic number, because the mean of its divisors is an integer number (4431464192880).

Almost surely, 2101221002010221 is an apocalyptic number.

It is an amenable number.

101221002010221 is a deficient number, since it is larger than the sum of its proper divisors (40585852161939).

101221002010221 is a wasteful number, since it uses less digits than its factorization.

101221002010221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34099333.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101221002010221 its reverse (122010200122101), we get a palindrome (223231202132322).

The spelling of 101221002010221 in words is "one hundred one trillion, two hundred twenty-one billion, two million, ten thousand, two hundred twenty-one".

Divisors: 1 3 37 47 111 141 569 1707 1739 5217 21053 26743 63159 80229 989491 2968473 34098677 102296031 1261651049 1602637819 3784953147 4807913457 19402147213 58206441639 59297599303 177892797909 717879446881 911900919011 2153638340643 2735702757033 33740334003407 101221002010221