100102100011020 has 72 divisors (see below), whose sum is σ = 311849605280304. Its totient is φ = 25972436757888.

The previous prime is 100102100011019. The next prime is 100102100011021. The reversal of 100102100011020 is 20110001201001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100102100011019) and next prime (100102100011021).

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 = 100102100010993 and 100102100011011.

It is not an unprimeable number, because it can be changed into a prime (100102100011021) 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, 7515166014 + ... + 7515179333.

It is an arithmetic number, because the mean of its divisors is an integer number (4331244517782).

Almost surely, 2^{100102100011020} is an apocalyptic number.

100102100011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102100011020 is an abundant number, since it is smaller than the sum of its proper divisors (211747505269284).

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

100102100011020 is a wasteful number, since it uses less digits than its factorization.

100102100011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030345399 (or 15030345394 counting only the distinct ones).

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

Adding to 100102100011020 its reverse (20110001201001), we get a palindrome (120212101212021).

The spelling of 100102100011020 in words is "one hundred trillion, one hundred two billion, one hundred million, eleven thousand, twenty".