100102021122020 has 24 divisors (see below), whose sum is σ = 212295573512568. Its totient is φ = 39644364800000.

The previous prime is 100102021121989. The next prime is 100102021122079. The reversal of 100102021122020 is 20221120201001.

It can be written as a sum of positive squares in 4 ways, for example, as 13133564448676 + 86968456673344 = 3624026^2 + 9325688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100102021121986 and 100102021122004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24777725981 + ... + 24777730020.

It is an arithmetic number, because the mean of its divisors is an integer number (8845648896357).

Almost surely, 2^{100102021122020} is an apocalyptic number.

100102021122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102021122020 is an abundant number, since it is smaller than the sum of its proper divisors (112193552390548).

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

100102021122020 is a wasteful number, since it uses less digits than its factorization.

100102021122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49555456111 (or 49555456109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100102021122020 its reverse (20221120201001), we get a palindrome (120323141323021).

The spelling of 100102021122020 in words is "one hundred trillion, one hundred two billion, twenty-one million, one hundred twenty-two thousand, twenty".