101020111109964 has 144 divisors (see below), whose sum is σ = 269113420576000. Its totient is φ = 31863461857920.

The previous prime is 101020111109963. The next prime is 101020111109987. The reversal of 101020111109964 is 469901111020101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101020111109963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2129809329 + ... + 2129856759.

Almost surely, 2^{101020111109964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020111109964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134556710288000).

101020111109964 is an abundant number, since it is smaller than the sum of its proper divisors (168093309466036).

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

101020111109964 is a wasteful number, since it uses less digits than its factorization.

101020111109964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51068 (or 51063 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 101020111109964 in words is "one hundred one trillion, twenty billion, one hundred eleven million, one hundred nine thousand, nine hundred sixty-four".