101211613298250 has 256 divisors, whose sum is σ = 311263564824576. Its totient is φ = 21331084320000.

The previous prime is 101211613298227. The next prime is 101211613298269. The reversal of 101211613298250 is 52892316112101.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61361835 + ... + 62989665.

It is an arithmetic number, because the mean of its divisors is an integer number (1215873300096).

Almost surely, 2^{101211613298250} is an apocalyptic number.

101211613298250 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 101211613298250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155631782412288).

101211613298250 is an abundant number, since it is smaller than the sum of its proper divisors (210051951526326).

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

101211613298250 is a wasteful number, since it uses less digits than its factorization.

101211613298250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628782 (or 1628772 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 101211613298250 in words is "one hundred one trillion, two hundred eleven billion, six hundred thirteen million, two hundred ninety-eight thousand, two hundred fifty".