100101012121110 has 864 divisors, whose sum is σ = 341622006951456. Its totient is φ = 18681062400000.

The previous prime is 100101012121091. The next prime is 100101012121129. The reversal of 100101012121110 is 11121210101001.

It is an interprime number because it is at equal distance from previous prime (100101012121091) and next prime (100101012121129).

It is a super-2 number, since 2×100101012121110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1112176110 + ... + 1112266110.

It is an arithmetic number, because the mean of its divisors is an integer number (395395841379).

Almost surely, 2^{100101012121110} is an apocalyptic number.

100101012121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101012121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170811003475728).

100101012121110 is an abundant number, since it is smaller than the sum of its proper divisors (241520994830346).

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

100101012121110 is a wasteful number, since it uses less digits than its factorization.

100101012121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90110 (or 90079 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100101012121110 its reverse (11121210101001), we get a palindrome (111222222222111).

The spelling of 100101012121110 in words is "one hundred trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, one hundred ten".