100111020210020 has 24 divisors (see below), whose sum is σ = 210433555395000. Its totient is φ = 40006234188032.

The previous prime is 100111020209987. The next prime is 100111020210049. The reversal of 100111020210020 is 20012020111001.

It can be written as a sum of positive squares in 4 ways, for example, as 8060466097216 + 92050554112804 = 2839096^2 + 9594298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100111020209983 and 100111020210010.

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, 2385846995 + ... + 2385888954.

It is an arithmetic number, because the mean of its divisors is an integer number (8768064808125).

Almost surely, 2^{100111020210020} is an apocalyptic number.

100111020210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111020210020 is an abundant number, since it is smaller than the sum of its proper divisors (110322535184980).

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

100111020210020 is a wasteful number, since it uses less digits than its factorization.

100111020210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4771737007 (or 4771737005 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100111020210020 its reverse (20012020111001), we get a palindrome (120123040321021).

The spelling of 100111020210020 in words is "one hundred trillion, one hundred eleven billion, twenty million, two hundred ten thousand, twenty".