101102121012100 has 72 divisors (see below), whose sum is σ = 244415048076360. Its totient is φ = 36042772039680.

The previous prime is 101102121012083. The next prime is 101102121012121. The reversal of 101102121012100 is 1210121201101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 68517569121156 + 32584551890944 = 8277534^2 + 5708288^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1340839237 + ... + 1340914636.

It is an arithmetic number, because the mean of its divisors is an integer number (3394653445505).

Almost surely, 2^{101102121012100} is an apocalyptic number.

101102121012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102121012100 is an abundant number, since it is smaller than the sum of its proper divisors (143312927064260).

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

101102121012100 is a wasteful number, since it uses less digits than its factorization.

101102121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681753929 (or 2681753922 counting only the distinct ones).

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

Adding to 101102121012100 its reverse (1210121201101), we get a palindrome (102312242213201).

The spelling of 101102121012100 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-one million, twelve thousand, one hundred".