101021001112100 has 18 divisors (see below), whose sum is σ = 219215572413474. Its totient is φ = 40408400444800.

The previous prime is 101021001112081. The next prime is 101021001112177. The reversal of 101021001112100 is 1211100120101.

It can be written as a sum of positive squares in 3 ways, for example, as 117047462884 + 100903953649216 = 342122^2 + 10045096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505105005461 + ... + 505105005660.

Almost surely, 2^{101021001112100} is an apocalyptic number.

101021001112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021001112100 is an abundant number, since it is smaller than the sum of its proper divisors (118194571301374).

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

101021001112100 is a wasteful number, since it uses less digits than its factorization.

101021001112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010210011135 (or 1010210011128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021001112100 its reverse (1211100120101), we get a palindrome (102232101232201).

The spelling of 101021001112100 in words is "one hundred one trillion, twenty-one billion, one million, one hundred twelve thousand, one hundred".