101011111010010 has 160 divisors (see below), whose sum is σ = 274923634531392. Its totient is φ = 26607541685760.

The previous prime is 101011111009993. The next prime is 101011111010011. The reversal of 101011111010010 is 10010111110101.

It is a super-4 number, since 4×101011111010010⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011111009974 and 101011111010001.

It is not an unprimeable number, because it can be changed into a prime (101011111010011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 435601717 + ... + 435833543.

Almost surely, 2^{101011111010010} is an apocalyptic number.

101011111010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011111010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137461817265696).

101011111010010 is an abundant number, since it is smaller than the sum of its proper divisors (173912523521382).

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

101011111010010 is a wasteful number, since it uses less digits than its factorization.

101011111010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238410 (or 238401 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101011111010010 its reverse (10010111110101), we get a palindrome (111021222120111).

The spelling of 101011111010010 in words is "one hundred one trillion, eleven billion, one hundred eleven million, ten thousand, ten".