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100102021220020 = 22519219326042057
BaseRepresentation
bin10110110000101011010001…
…011010101000011010110100
3111010102122210222020111011011
4112300223101122220122310
5101110032414413020040
6552522122251322004
730041063255202421
oct2660532132503264
9433378728214134
10100102021220020
1129994035362846
12b288538450304
1343b177061c561
141aa0d6c492d48
15b88d3b1ae3ea
hex5b0ad16a86b4

100102021220020 has 24 divisors (see below), whose sum is σ = 210215346400584. Its totient is φ = 40040598614016.

The previous prime is 100102021219957. The next prime is 100102021220059. The reversal of 100102021220020 is 20022120201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14050832421136 + 86051188798884 = 3748444^2 + 9276378^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9177169 + ... + 16864888.

It is an arithmetic number, because the mean of its divisors is an integer number (8758972766691).

Almost surely, 2100102021220020 is an apocalyptic number.

100102021220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102021220020 is an abundant number, since it is smaller than the sum of its proper divisors (110113325180564).

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

100102021220020 is a wasteful number, since it uses less digits than its factorization.

100102021220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26234259 (or 26234257 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102021220020 its reverse (20022120201001), we get a palindrome (120124141421021).

The spelling of 100102021220020 in words is "one hundred trillion, one hundred two billion, twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 192193 384386 768772 960965 1921930 3843860 26042057 52084114 104168228 130210285 260420570 520841140 5005101061001 10010202122002 20020404244004 25025505305005 50051010610010 100102021220020