101200022021000 has 128 divisors (see below), whose sum is σ = 273120690585600. Its totient is φ = 34378827667200.

The previous prime is 101200022020963. The next prime is 101200022021003. The reversal of 101200022021000 is 120220002101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101200022021003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65554184 + ... + 67080183.

It is an arithmetic number, because the mean of its divisors is an integer number (2133755395200).

Almost surely, 2^{101200022021000} is an apocalyptic number.

101200022021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101200022021000 is an abundant number, since it is smaller than the sum of its proper divisors (171920668564600).

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

101200022021000 is a wasteful number, since it uses less digits than its factorization.

101200022021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132634504 (or 132634490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 101200022021000 its reverse (120220002101), we get a palindrome (101320242023101).

The spelling of 101200022021000 in words is "one hundred one trillion, two hundred billion, twenty-two million, twenty-one thousand".