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100021010020001 = 7323101254349363
BaseRepresentation
bin10110101111011111110100…
…110001011011011010100001
3111010010220201011101010111122
4112233133310301123122201
5101102221012031120001
6552421003452222025
730032164604312000
oct2657376461333241
9433126634333448
10100021010020001
1129962743683174
12b2748a9a6a915
1343a6c2cb58745
141a9b0852d2c37
15b86b9904ab1b
hex5af7f4c5b6a1

100021010020001 has 64 divisors (see below), whose sum is σ = 122969910067200. Its totient is φ = 81159302347200.

The previous prime is 100021010019991. The next prime is 100021010020013. The reversal of 100021010020001 is 100020010120001.

It is not a de Polignac number, because 100021010020001 - 230 = 100019936278177 is a prime.

It is a super-2 number, since 2×1000210100200012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100021010020031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2026209746 + ... + 2026259108.

It is an arithmetic number, because the mean of its divisors is an integer number (1921404844800).

Almost surely, 2100021010020001 is an apocalyptic number.

It is an amenable number.

100021010020001 is a deficient number, since it is larger than the sum of its proper divisors (22948900047199).

100021010020001 is a wasteful number, since it uses less digits than its factorization.

100021010020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52051 (or 52037 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100021010020001 its reverse (100020010120001), we get a palindrome (200041020140002).

The spelling of 100021010020001 in words is "one hundred trillion, twenty-one billion, ten million, twenty thousand, one".

Divisors: 1 7 23 49 101 161 343 707 1127 2323 2543 4949 7889 16261 17801 34643 49363 58489 113827 124607 256843 345541 409423 796789 872249 1135349 1797901 2418787 2865961 4985663 5907389 7947443 12585307 16931509 20061727 34899641 41351723 55632101 88097149 114670249 125530109 244297487 289462061 389424707 802691743 878710763 1710082409 2026234427 2887192507 5618842201 6150975341 12678541009 20210347549 39331895407 43056827387 88749787063 141472432843 291606443207 621248509441 990307029901 2041245102449 4348739566087 14288715717143 100021010020001