101120001011010 has 80 divisors (see below), whose sum is σ = 271902280653432. Its totient is φ = 26965151769600.

The previous prime is 101120001010991. The next prime is 101120001011021. The reversal of 101120001011010 is 10110100021101.

It can be written as a sum of positive squares in 4 ways, for example, as 99367742545569 + 1752258465441 = 9968337^2 + 1323729^2 .

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101120001010983 and 101120001011001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 155325580 + ... + 155975240.

Almost surely, 2^{101120001011010} is an apocalyptic number.

101120001011010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120001011010 is an abundant number, since it is smaller than the sum of its proper divisors (170782279642422).

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

101120001011010 is a wasteful number, since it uses less digits than its factorization.

101120001011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841841 (or 841832 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101120001011010 its reverse (10110100021101), we get a palindrome (111230101032111).

The spelling of 101120001011010 in words is "one hundred one trillion, one hundred twenty billion, one million, eleven thousand, ten".