100112001022011 has 128 divisors (see below), whose sum is σ = 156974752972800. Its totient is φ = 56115970560000.

The previous prime is 100112001021971. The next prime is 100112001022031. The reversal of 100112001022011 is 110220100211001.

It is not a de Polignac number, because 100112001022011 - 2⁹ = 100112001021499 is a prime.

It is a super-2 number, since 2×100112001022011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112001022031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1664646780 + ... + 1664706918.

It is an arithmetic number, because the mean of its divisors is an integer number (1226365257600).

Almost surely, 2^{100112001022011} is an apocalyptic number.

100112001022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100112001022011 is a deficient number, since it is larger than the sum of its proper divisors (56862751950789).

100112001022011 is a wasteful number, since it uses less digits than its factorization.

100112001022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60641.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112001022011 its reverse (110220100211001), we get a palindrome (210332101233012).

The spelling of 100112001022011 in words is "one hundred trillion, one hundred twelve billion, one million, twenty-two thousand, eleven".