101121012102100 has 18 divisors (see below), whose sum is σ = 219432596261774. Its totient is φ = 40448404840800.

The previous prime is 101121012102043. The next prime is 101121012102169. The reversal of 101121012102100 is 1201210121101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3287469407044 + 97833542695056 = 1813138^2 + 9891084^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505605060411 + ... + 505605060610.

Almost surely, 2^{101121012102100} is an apocalyptic number.

101121012102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121012102100 is an abundant number, since it is smaller than the sum of its proper divisors (118311584159674).

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

101121012102100 is a wasteful number, since it uses less digits than its factorization.

101121012102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011210121035 (or 1011210121028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101121012102100 its reverse (1201210121101), we get a palindrome (102322222223201).

The spelling of 101121012102100 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, one hundred two thousand, one hundred".