10106774272812 has 48 divisors (see below), whose sum is σ = 27459915017472. Its totient is φ = 2833165832640.

The previous prime is 10106774272811. The next prime is 10106774272813. The reversal of 10106774272812 is 21827247760101.

It is an interprime number because it is at equal distance from previous prime (10106774272811) and next prime (10106774272813).

It is not an unprimeable number, because it can be changed into a prime (10106774272811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1135078014 + ... + 1135086917.

It is an arithmetic number, because the mean of its divisors is an integer number (572081562864).

Almost surely, 2^{10106774272812} is an apocalyptic number.

10106774272812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10106774272812 is an abundant number, since it is smaller than the sum of its proper divisors (17353140744660).

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

10106774272812 is a wasteful number, since it uses less digits than its factorization.

10106774272812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270164998 (or 2270164996 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 10106774272812 in words is "ten trillion, one hundred six billion, seven hundred seventy-four million, two hundred seventy-two thousand, eight hundred twelve".