101121211302320 has 80 divisors (see below), whose sum is σ = 257064401468160. Its totient is φ = 36687587808000.

The previous prime is 101121211302283. The next prime is 101121211302337. The reversal of 101121211302320 is 23203112121101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×101121211302320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101121211302292 and 101121211302301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130491206 + ... + 131263845.

It is an arithmetic number, because the mean of its divisors is an integer number (3213305018352).

Almost surely, 2^{101121211302320} is an apocalyptic number.

101121211302320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121211302320 is an abundant number, since it is smaller than the sum of its proper divisors (155943190165840).

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

101121211302320 is a wasteful number, since it uses less digits than its factorization.

101121211302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261755514 (or 261755508 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101121211302320 its reverse (23203112121101), we get a palindrome (124324323423421).

The spelling of 101121211302320 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred eleven million, three hundred two thousand, three hundred twenty".