101263554140 has 96 divisors (see below), whose sum is σ = 245495169024. Its totient is φ = 34368364800.

The previous prime is 101263554131. The next prime is 101263554151. The reversal of 101263554140 is 41455362101.

It is a super-2 number, since 2×101263554140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101263554097 and 101263554106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8225990 + ... + 8238290.

It is an arithmetic number, because the mean of its divisors is an integer number (2557241344).

Almost surely, 2^101263554140 is an apocalyptic number.

101263554140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101263554140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122747584512).

101263554140 is an abundant number, since it is smaller than the sum of its proper divisors (144231614884).

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

101263554140 is a wasteful number, since it uses less digits than its factorization.

101263554140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12907 (or 12905 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 101263554140 in words is "one hundred one billion, two hundred sixty-three million, five hundred fifty-four thousand, one hundred forty".