122102200012100 has 216 divisors, whose sum is σ = 336740630532768. Its totient is φ = 38001267763200.

The previous prime is 122102200012097. The next prime is 122102200012123. The reversal of 122102200012100 is 1210002201221.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34591679 + ... + 37957721.

Almost surely, 2^{122102200012100} is an apocalyptic number.

122102200012100 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 122102200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168370315266384).

122102200012100 is an abundant number, since it is smaller than the sum of its proper divisors (214638430520668).

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

122102200012100 is a wasteful number, since it uses less digits than its factorization.

122102200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366755 (or 3366741 counting only the distinct ones).

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

Adding to 122102200012100 its reverse (1210002201221), we get a palindrome (123312202213321).

The spelling of 122102200012100 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred million, twelve thousand, one hundred".