101022021201120 has 192 divisors, whose sum is σ = 336946534041600. Its totient is φ = 25353915834368.

The previous prime is 101022021201113. The next prime is 101022021201281. The reversal of 101022021201120 is 21102120220101.

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 101022021201120.

It is a congruent number.

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, 387820681 + ... + 388081079.

It is an arithmetic number, because the mean of its divisors is an integer number (1754929864800).

Almost surely, 2^{101022021201120} is an apocalyptic number.

101022021201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022021201120 is an abundant number, since it is smaller than the sum of its proper divisors (235924512840480).

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

101022021201120 is a wasteful number, since it uses less digits than its factorization.

101022021201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307977 (or 307969 counting only the distinct ones).

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

Adding to 101022021201120 its reverse (21102120220101), we get a palindrome (122124141421221).

The spelling of 101022021201120 in words is "one hundred one trillion, twenty-two billion, twenty-one million, two hundred one thousand, one hundred twenty".