102011002100000 has 144 divisors (see below), whose sum is σ = 286887583394496. Its totient is φ = 34975200480000.

The previous prime is 102011002099997. The next prime is 102011002100003. The reversal of 102011002100000 is 1200110201.

It is an interprime number because it is at equal distance from previous prime (102011002099997) and next prime (102011002100003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (102011002100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72165002 + ... + 73565001.

It is an arithmetic number, because the mean of its divisors is an integer number (1992274884684).

Almost surely, 2^{102011002100000} is an apocalyptic number.

102011002100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011002100000 is an abundant number, since it is smaller than the sum of its proper divisors (184876581294496).

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

102011002100000 is an frugal number, since it uses more digits than its factorization.

102011002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145730045 (or 145730017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102011002100000 its reverse (1200110201), we get a palindrome (102012202210201).

The spelling of 102011002100000 in words is "one hundred two trillion, eleven billion, two million, one hundred thousand".