101288406112 has 48 divisors (see below), whose sum is σ = 220321739232. Its totient is φ = 45592729600.

The previous prime is 101288406101. The next prime is 101288406119. The reversal of 101288406112 is 211604882101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101288406119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4035139 + ... + 4060162.

It is an arithmetic number, because the mean of its divisors is an integer number (4590036234).

Almost surely, 2^101288406112 is an apocalyptic number.

It is an amenable number.

101288406112 is an abundant number, since it is smaller than the sum of its proper divisors (119033333120).

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

101288406112 is a wasteful number, since it uses less digits than its factorization.

101288406112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8095351 (or 8095343 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 101288406112 in words is "one hundred one billion, two hundred eighty-eight million, four hundred six thousand, one hundred twelve".