101120001999948 has 36 divisors (see below), whose sum is σ = 255856337304568. Its totient is φ = 33674037439680.

The previous prime is 101120001999901. The next prime is 101120001999949. The reversal of 101120001999948 is 849999100021101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×101120001999948³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120001999894 and 101120001999903.

It is not an unprimeable number, because it can be changed into a prime (101120001999949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359541198 + ... + 1359615573.

Almost surely, 2^{101120001999948} is an apocalyptic number.

101120001999948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101120001999948 is an abundant number, since it is smaller than the sum of its proper divisors (154736335304620).

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

101120001999948 is a wasteful number, since it uses less digits than its factorization.

101120001999948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719157814 (or 2719157809 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 54.

The spelling of 101120001999948 in words is "one hundred one trillion, one hundred twenty billion, one million, nine hundred ninety-nine thousand, nine hundred forty-eight".