100102000201020 has 144 divisors (see below), whose sum is σ = 314128413144000. Its totient is φ = 25772138090496.

The previous prime is 100102000200997. The next prime is 100102000201043. The reversal of 100102000201020 is 20102000201001.

It is an interprime number because it is at equal distance from previous prime (100102000200997) and next prime (100102000201043).

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 = 100102000200993 and 100102000201011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109629921 + ... + 110539239.

It is an arithmetic number, because the mean of its divisors is an integer number (2181447313500).

Almost surely, 2^{100102000201020} is an apocalyptic number.

100102000201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102000201020 is an abundant number, since it is smaller than the sum of its proper divisors (214026412942980).

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

100102000201020 is a wasteful number, since it uses less digits than its factorization.

100102000201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930452 (or 930447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100102000201020 its reverse (20102000201001), we get a palindrome (120204000402021).

The spelling of 100102000201020 in words is "one hundred trillion, one hundred two billion, two hundred one thousand, twenty".