100102011012 has 18 divisors (see below), whose sum is σ = 253035639038. Its totient is φ = 33367336992.

The previous prime is 100102011011. The next prime is 100102011041. The reversal of 100102011012 is 210110201001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91576443456 + 8525567556 = 302616^2 + 92334^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102010985 and 100102011003.

It is not an unprimeable number, because it can be changed into a prime (100102011011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390305673 + ... + 1390305744.

Almost surely, 2^100102011012 is an apocalyptic number.

100102011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100102011012 is an abundant number, since it is smaller than the sum of its proper divisors (152933628026).

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

100102011012 is a wasteful number, since it uses less digits than its factorization.

100102011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780611427 (or 2780611422 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102011012 its reverse (210110201001), we get a palindrome (310212212013).

The spelling of 100102011012 in words is "one hundred billion, one hundred two million, eleven thousand, twelve".