101142920 has 16 divisors (see below), whose sum is σ = 227571660. Its totient is φ = 40457152.

The previous prime is 101142917. The next prime is 101142929. The reversal of 101142920 is 29241101.

It can be written as a sum of positive squares in 2 ways, for example, as 95218564 + 5924356 = 9758^2 + 2434^2 .

It is a super-2 number, since 2×101142920² = 20459780532252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101142892 and 101142901.

It is not an unprimeable number, because it can be changed into a prime (101142929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1264247 + ... + 1264326.

Almost surely, 2^101142920 is an apocalyptic number.

101142920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142920 is an abundant number, since it is smaller than the sum of its proper divisors (126428740).

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

101142920 is a wasteful number, since it uses less digits than its factorization.

101142920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528584 (or 2528580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 101142920 is about 10056.9836432203. The cubic root of 101142920 is about 465.9205105502.

The spelling of 101142920 in words is "one hundred one million, one hundred forty-two thousand, nine hundred twenty".