10202122101120 has 128 divisors (see below), whose sum is σ = 33398163462240. Its totient is φ = 2647037067264.

The previous prime is 10202122101103. The next prime is 10202122101131. The reversal of 10202122101120 is 2110122120201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10202122101120² (a number of 27 digits) contains 22 as substring.

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 10202122101120.

It is a congruent number.

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, 71734437 + ... + 71876516.

Almost surely, 2^{10202122101120} is an apocalyptic number.

10202122101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202122101120 is an abundant number, since it is smaller than the sum of its proper divisors (23196041361120).

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

10202122101120 is a wasteful number, since it uses less digits than its factorization.

10202122101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143611012 (or 143611000 counting only the distinct ones).

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

Adding to 10202122101120 its reverse (2110122120201), we get a palindrome (12312244221321).

The spelling of 10202122101120 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred one thousand, one hundred twenty".