101121002110128 has 960 divisors, whose sum is σ = 369273292996608. Its totient is φ = 23110563041280.

The previous prime is 101121002110127. The next prime is 101121002110129. The reversal of 101121002110128 is 821011200121101.

It is an interprime number because it is at equal distance from previous prime (101121002110127) and next prime (101121002110129).

It is a super-2 number, since 2×101121002110128² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101121002110127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4209329125 + ... + 4209353147.

Almost surely, 2^{101121002110128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121002110128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184636646498304).

101121002110128 is an abundant number, since it is smaller than the sum of its proper divisors (268152290886480).

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

101121002110128 is a wasteful number, since it uses less digits than its factorization.

101121002110128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24394 (or 24375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 21.

Adding to 101121002110128 its reverse (821011200121101), we get a palindrome (922132202231229).

The spelling of 101121002110128 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred ten thousand, one hundred twenty-eight".