101220111121000 has 64 divisors (see below), whose sum is σ = 236879005530960. Its totient is φ = 40483951200000.

The previous prime is 101220111120977. The next prime is 101220111121009. The reversal of 101220111121000 is 121111022101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16963903863076 + 84256207257924 = 4118726^2 + 9179118^2 .

It is not an unprimeable number, because it can be changed into a prime (101220111121009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4789390 + ... + 15012610.

Almost surely, 2^{101220111121000} is an apocalyptic number.

101220111121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220111121000 is an abundant number, since it is smaller than the sum of its proper divisors (135658894409960).

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

101220111121000 is a wasteful number, since it uses less digits than its factorization.

101220111121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233143 (or 10233129 counting only the distinct ones).

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

Adding to 101220111121000 its reverse (121111022101), we get a palindrome (101341222143101).

The spelling of 101220111121000 in words is "one hundred one trillion, two hundred twenty billion, one hundred eleven million, one hundred twenty-one thousand".