101020221212100 has 72 divisors (see below), whose sum is σ = 293048320373760. Its totient is φ = 26868389527680.

The previous prime is 101020221212077. The next prime is 101020221212123. The reversal of 101020221212100 is 1212122020101.

It is an interprime number because it is at equal distance from previous prime (101020221212077) and next prime (101020221212123).

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

It is a self number, because there is not a number n which added to its sum of digits gives 101020221212100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439485715 + ... + 439715514.

Almost surely, 2^{101020221212100} is an apocalyptic number.

101020221212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020221212100 is an abundant number, since it is smaller than the sum of its proper divisors (192028099161660).

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

101020221212100 is a wasteful number, since it uses less digits than its factorization.

101020221212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879201629 (or 879201622 counting only the distinct ones).

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

Adding to 101020221212100 its reverse (1212122020101), we get a palindrome (102232343232201).

The spelling of 101020221212100 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, two hundred twelve thousand, one hundred".