1020102100020 has 96 divisors (see below), whose sum is σ = 3180536029440. Its totient is φ = 271437079680.

The previous prime is 1020102099869. The next prime is 1020102100027. The reversal of 1020102100020 is 200012010201.

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 = 1020102099975 and 1020102100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102100027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799952 + ... + 2297831.

It is an arithmetic number, because the mean of its divisors is an integer number (33130583640).

Almost surely, 2^{1020102100020} is an apocalyptic number.

1020102100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102100020 is an abundant number, since it is smaller than the sum of its proper divisors (2160433929420).

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

1020102100020 is a wasteful number, since it uses less digits than its factorization.

1020102100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098262 (or 4098254 counting only the distinct ones).

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

Adding to 1020102100020 its reverse (200012010201), we get a palindrome (1220114110221).

The spelling of 1020102100020 in words is "one trillion, twenty billion, one hundred two million, one hundred thousand, twenty".