101210122000 has 80 divisors (see below), whose sum is σ = 263551225392. Its totient is φ = 37369881600.

The previous prime is 101210121989. The next prime is 101210122007. The reversal of 101210122000 is 221012101.

It can be written as a sum of positive squares in 8 ways, for example, as 44306882064 + 56903239936 = 210492^2 + 238544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101210122007) 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, 1920349 + ... + 1972348.

Almost surely, 2^101210122000 is an apocalyptic number.

101210122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210122000 is an abundant number, since it is smaller than the sum of its proper divisors (162341103392).

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

101210122000 is a wasteful number, since it uses less digits than its factorization.

101210122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892733 (or 3892717 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101210122000 its reverse (221012101), we get a palindrome (101431134101).

The spelling of 101210122000 in words is "one hundred one billion, two hundred ten million, one hundred twenty-two thousand".