10202111012100 has 144 divisors (see below), whose sum is σ = 33740342924288. Its totient is φ = 2331540408960.

The previous prime is 10202111012087. The next prime is 10202111012101. The reversal of 10202111012100 is 121011120201.

10202111012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10202111012101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12937347 + ... + 13703253.

Almost surely, 2^{10202111012100} is an apocalyptic number.

10202111012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202111012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16870171462144).

10202111012100 is an abundant number, since it is smaller than the sum of its proper divisors (23538231912188).

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

10202111012100 is a wasteful number, since it uses less digits than its factorization.

10202111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772274 (or 772267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10202111012100 its reverse (121011120201), we get a palindrome (10323122132301).

The spelling of 10202111012100 in words is "ten trillion, two hundred two billion, one hundred eleven million, twelve thousand, one hundred".