100202010211020 has 48 divisors (see below), whose sum is σ = 280568628839520. Its totient is φ = 26720250318336.

The previous prime is 100202010211013. The next prime is 100202010211027. The reversal of 100202010211020 is 20112010202001.

It is an interprime number because it is at equal distance from previous prime (100202010211013) and next prime (100202010211027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100202010210987 and 100202010211005.

It is not an unprimeable number, because it can be changed into a prime (100202010211027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3241767 + ... + 14522846.

It is an arithmetic number, because the mean of its divisors is an integer number (5845179767490).

Almost surely, 2^{100202010211020} is an apocalyptic number.

100202010211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202010211020 is an abundant number, since it is smaller than the sum of its proper divisors (180366618628500).

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

100202010211020 is a wasteful number, since it uses less digits than its factorization.

100202010211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17858634 (or 17858632 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100202010211020 its reverse (20112010202001), we get a palindrome (120314020413021).

The spelling of 100202010211020 in words is "one hundred trillion, two hundred two billion, ten million, two hundred eleven thousand, twenty".