101122210221000 has 128 divisors (see below), whose sum is σ = 315719347656960. Its totient is φ = 26947285824000.

The previous prime is 101122210220981. The next prime is 101122210221037. The reversal of 101122210221000 is 122012221101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7306341 + ... + 15988340.

It is an arithmetic number, because the mean of its divisors is an integer number (2466557403570).

Almost surely, 2^{101122210221000} is an apocalyptic number.

101122210221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122210221000 is an abundant number, since it is smaller than the sum of its proper divisors (214597137435960).

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

101122210221000 is a wasteful number, since it uses less digits than its factorization.

101122210221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23296152 (or 23296138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101122210221000 its reverse (122012221101), we get a palindrome (101244222442101).

The spelling of 101122210221000 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty-one thousand".