101221102021000 has 128 divisors (see below), whose sum is σ = 255131339299200. Its totient is φ = 37366009516800.

The previous prime is 101221102020967. The next prime is 101221102021099. The reversal of 101221102021000 is 120201122101.

It is a super-2 number, since 2×101221102021000² (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 60574711 + ... + 62223289.

It is an arithmetic number, because the mean of its divisors is an integer number (1993213588275).

Almost surely, 2^{101221102021000} is an apocalyptic number.

101221102021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101221102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127565669649600).

101221102021000 is an abundant number, since it is smaller than the sum of its proper divisors (153910237278200).

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

101221102021000 is a wasteful number, since it uses less digits than its factorization.

101221102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653336 (or 1653322 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221102021000 its reverse (120201122101), we get a palindrome (101341303143101).

The spelling of 101221102021000 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred two million, twenty-one thousand".