10202121112100 has 72 divisors (see below), whose sum is σ = 23625447874560. Its totient is φ = 3810555947520.

The previous prime is 10202121112093. The next prime is 10202121112103. The reversal of 10202121112100 is 121112120201.

It is not an unprimeable number, because it can be changed into a prime (10202121112103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23411060 + ... + 23842859.

It is an arithmetic number, because the mean of its divisors is an integer number (328131220480).

Almost surely, 2^{10202121112100} is an apocalyptic number.

10202121112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121112100 is an abundant number, since it is smaller than the sum of its proper divisors (13423326762460).

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

10202121112100 is a wasteful number, since it uses less digits than its factorization.

10202121112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47254077 (or 47254070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10202121112100 its reverse (121112120201), we get a palindrome (10323233232301).

It can be divided in two parts, 1020212 and 1112100, that added together give a palindrome (2132312).

The spelling of 10202121112100 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".