100102011111020 has 48 divisors (see below), whose sum is σ = 221416343618400. Its totient is φ = 37909699891200.

The previous prime is 100102011110977. The next prime is 100102011111029. The reversal of 100102011111020 is 20111110201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102011110992 and 100102011111010.

It is not an unprimeable number, because it can be changed into a prime (100102011111029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81660935 + ... + 82877694.

It is an arithmetic number, because the mean of its divisors is an integer number (4612840492050).

Almost surely, 2^{100102011111020} is an apocalyptic number.

100102011111020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102011111020 is an abundant number, since it is smaller than the sum of its proper divisors (121314332507380).

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

100102011111020 is a wasteful number, since it uses less digits than its factorization.

100102011111020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164540258 (or 164540256 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102011111020 its reverse (20111110201001), we get a palindrome (120213121312021).

The spelling of 100102011111020 in words is "one hundred trillion, one hundred two billion, eleven million, one hundred eleven thousand, twenty".