102020121122100 has 144 divisors (see below), whose sum is σ = 310449154982400. Its totient is φ = 25831022630400.

The previous prime is 102020121122071. The next prime is 102020121122107. The reversal of 102020121122100 is 1221121020201.

It is a super-2 number, since 2×102020121122100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102020121122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020121122107) 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, 102996775 + ... + 103982574.

It is an arithmetic number, because the mean of its divisors is an integer number (2155896909600).

Almost surely, 2^{102020121122100} is an apocalyptic number.

102020121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020121122100 is an abundant number, since it is smaller than the sum of its proper divisors (208429033860300).

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

102020121122100 is a wasteful number, since it uses less digits than its factorization.

102020121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206979450 (or 206979443 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102020121122100 its reverse (1221121020201), we get a palindrome (103241242142301).

The spelling of 102020121122100 in words is "one hundred two trillion, twenty billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".