122022201010100 has 36 divisors (see below), whose sum is σ = 264789395667468. Its totient is φ = 48808655616000.

The previous prime is 122022201010093. The next prime is 122022201010111. The reversal of 122022201010100 is 1010102220221.

122022201010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 52839297424 + 121969361712676 = 229868^2 + 11043974^2 .

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, 19927370 + ... + 25320830.

It is an arithmetic number, because the mean of its divisors is an integer number (7355260990763).

Almost surely, 2^{122022201010100} is an apocalyptic number.

122022201010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122022201010100 is an abundant number, since it is smaller than the sum of its proper divisors (142767194657368).

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

122022201010100 is a wasteful number, since it uses less digits than its factorization.

122022201010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619716 (or 5619709 counting only the distinct ones).

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

Adding to 122022201010100 its reverse (1010102220221), we get a palindrome (123032303230321).

The spelling of 122022201010100 in words is "one hundred twenty-two trillion, twenty-two billion, two hundred one million, ten thousand, one hundred".