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100102001012020 = 225715123387723173
BaseRepresentation
bin10110110000101011010000…
…001101100010110100110100
3111010102122202120012210222201
4112300223100031202310310
5101110032344224341040
6552522120250234244
730041062621346110
oct2660532015426464
9433378676183881
10100102001012020
1129994024a10217
12b288531725984
1343b1769395567
141aa0d69912740
15b88d3951ba9a
hex5b0ad0362d34

100102001012020 has 192 divisors, whose sum is σ = 243161179462656. Its totient is φ = 33906901708800.

The previous prime is 100102001011993. The next prime is 100102001012023. The reversal of 100102001012020 is 20210100201001.

It is a super-2 number, since 2×1001020010120202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100102001011988 and 100102001012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001012023) 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, 4319757154 + ... + 4319780326.

It is an arithmetic number, because the mean of its divisors is an integer number (1266464476368).

Almost surely, 2100102001012020 is an apocalyptic number.

100102001012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102001012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121580589731328).

100102001012020 is an abundant number, since it is smaller than the sum of its proper divisors (143059178450636).

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

100102001012020 is a wasteful number, since it uses less digits than its factorization.

100102001012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24450 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100102001012020 its reverse (20210100201001), we get a palindrome (120312101213021).

The spelling of 100102001012020 in words is "one hundred trillion, one hundred two billion, one million, twelve thousand, twenty".