101202122001120 has 192 divisors, whose sum is σ = 365107789702656. Its totient is φ = 23082380236800.

The previous prime is 101202122001077. The next prime is 101202122001121. The reversal of 101202122001120 is 21100221202101.

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 101202122001120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202122001121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30678931 + ... + 33817170.

It is an arithmetic number, because the mean of its divisors is an integer number (1901603071368).

Almost surely, 2^{101202122001120} is an apocalyptic number.

101202122001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202122001120 is an abundant number, since it is smaller than the sum of its proper divisors (263905667701536).

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

101202122001120 is a wasteful number, since it uses less digits than its factorization.

101202122001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64496593 (or 64496585 counting only the distinct ones).

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

Adding to 101202122001120 its reverse (21100221202101), we get a palindrome (122302343203221).

The spelling of 101202122001120 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-two million, one thousand, one hundred twenty".