101012212202200 has 48 divisors (see below), whose sum is σ = 252919039020480. Its totient is φ = 37296816812160.

The previous prime is 101012212202131. The next prime is 101012212202227. The reversal of 101012212202200 is 2202212210101.

It is a happy number.

101012212202200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19425422824 + ... + 19425428023.

It is an arithmetic number, because the mean of its divisors is an integer number (5269146646260).

Almost surely, 2^{101012212202200} is an apocalyptic number.

101012212202200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012212202200 is an abundant number, since it is smaller than the sum of its proper divisors (151906826818280).

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

101012212202200 is a wasteful number, since it uses less digits than its factorization.

101012212202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38850850876 (or 38850850867 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012212202200 its reverse (2202212210101), we get a palindrome (103214424412301).

It can be divided in two parts, 101012 and 212202200, that added together give a palindrome (212303212).

The spelling of 101012212202200 in words is "one hundred one trillion, twelve billion, two hundred twelve million, two hundred two thousand, two hundred".